Will CO2 laser help bring back my original color lips on my vermilion border? (Photo)

My lips were sun damaged from working outside and not wearing spf chapstick. My vermillion border faded and looks red. . I was wondering if co2 laser would help? I’ve had a dye pulse laser before and it helped but feel it still needs another touch. The dye pulse laser did scar a little but I’m not worried as much about that as I am about my vermillion border returning to normal color?